{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Probabilistic RNN\n",
    "In this notebook, we show an example of how a probabilistic RNN can be used with darts.\n",
    "This type of RNN was inspired by, and is almost identical to DeepAR: https://arxiv.org/abs/1704.04110"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# fix python path if working locally\n",
    "from utils import fix_pythonpath_if_working_locally\n",
    "fix_pythonpath_if_working_locally()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn as nn\n",
    "import torch.optim as optim\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import shutil\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from tqdm import tqdm_notebook as tqdm\n",
    "\n",
    "from torch.utils.tensorboard import SummaryWriter\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "from darts import TimeSeries\n",
    "from darts.dataprocessing.transformers import Scaler\n",
    "from darts.models import RNNModel, ExponentialSmoothing, BlockRNNModel\n",
    "from darts.metrics import mape\n",
    "from darts.utils.statistics import check_seasonality, plot_acf\n",
    "import darts.utils.timeseries_generation as tg\n",
    "from darts.datasets import AirPassengersDataset, EnergyDataset\n",
    "from darts.utils.timeseries_generation import datetime_attribute_timeseries\n",
    "from darts.utils.missing_values import fill_missing_values\n",
    "from darts.utils.likelihood_models import GaussianLikelihoodModel\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings(\"ignore\")\n",
    "import logging\n",
    "logging.disable(logging.CRITICAL)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Variable noise series\n",
    "As a toy example we create a target time series that is created by taking the some of a sine wave and a gaussian noise series. To make things interesting, the intensity of the gaussian noise is also modulated by a sine wave (with a different frequency). This means that the effect of the noise gets stronger and weaker in an oscillating fashion. The idea is to test whether a probabilistic RNN can model this oscillating uncertainty in its predictions."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "length = 400\n",
    "trend = tg.linear_timeseries(length=length, end_value=4)\n",
    "season1 = tg.sine_timeseries(length=length, value_frequency=0.05, value_amplitude=1.0)\n",
    "noise = tg.gaussian_timeseries(length=length, std=0.6)\n",
    "noise_modulator = (tg.sine_timeseries(length=length, value_frequency=0.02) + tg.constant_timeseries(length=length, value=1)) / 2\n",
    "noise = noise * noise_modulator\n",
    "\n",
    "target_series = sum([noise, season1])\n",
    "covariates = noise_modulator\n",
    "target_train, target_val = target_series.split_after(0.65)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "target_train.plot()\n",
    "target_val.plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the following we train a probabilistic RNN to predict the targets series in an autoregressive fashion, but also by taking into consideration the modulation of the noise component as a covariate which is known in the future. So the RNN has information on when the noise component of the target is severe, but it doesn't know the noise component itself. Let's see if the RNN can make use of this information."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e80ae94328ce4a07978f172fd5572dcb",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/50 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: -51.6939\r"
     ]
    }
   ],
   "source": [
    "my_model = RNNModel(\n",
    "    model='LSTM',\n",
    "    hidden_dim=20,\n",
    "    dropout=0,\n",
    "    batch_size=16,\n",
    "    n_epochs=50,\n",
    "    optimizer_kwargs={'lr': 1e-3},\n",
    "    random_state=0,\n",
    "    training_length=50,\n",
    "    input_chunk_length=20,\n",
    "    likelihood=GaussianLikelihoodModel()\n",
    ")\n",
    "\n",
    "my_model.fit(target_train, \n",
    "             future_covariates=covariates, \n",
    "             verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pred = my_model.predict(80, num_samples=50)\n",
    "target_val.slice_intersect(pred).plot(label='target')\n",
    "pred.plot(label='prediction')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can see that, on top of correctly predicting the, granted, simple oscillatory behavior of the target, the RNN correctly expresses more uncertainty in its predictions when the noise component is higher."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Daily energy production"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df3 = EnergyDataset().load().pd_dataframe()\n",
    "df3_day_avg = df3.groupby(df3.index.astype(str).str.split(\" \").str[0]).mean().reset_index()\n",
    "series_en = fill_missing_values(TimeSeries.from_dataframe(df3_day_avg, 'time', ['generation hydro run-of-river and poundage']), 'auto')\n",
    "\n",
    "# scale\n",
    "scaler_en = Scaler()\n",
    "series_en_transformed = scaler_en.fit_transform(series_en)\n",
    "train_en_transformed, val_en_transformed = series_en_transformed.split_after(pd.Timestamp('20170901'))\n",
    "\n",
    "# add the day as a covariate\n",
    "day_series = datetime_attribute_timeseries(series_en_transformed, attribute='day', one_hot=True)\n",
    "scaler_day = Scaler()\n",
    "day_series = scaler_day.fit_transform(day_series)\n",
    "train_day, val_day = day_series.split_after(pd.Timestamp('20170901'))\n",
    "\n",
    "series_en_transformed.plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "model_en = RNNModel(\n",
    "    model='LSTM',\n",
    "    hidden_dim=20,\n",
    "    n_rnn_layers=2,\n",
    "    dropout=0.2,\n",
    "    batch_size=16,\n",
    "    n_epochs=10,\n",
    "    optimizer_kwargs={'lr': 1e-3},\n",
    "    random_state=0,\n",
    "    training_length=300,\n",
    "    input_chunk_length=300,\n",
    "    likelihood=GaussianLikelihoodModel()\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dead5be6189e4417832abd088f02fa2d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/10 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Training loss: -56.0111\r"
     ]
    }
   ],
   "source": [
    "model_en.fit(series=train_en_transformed, \n",
    "             future_covariates=train_day,\n",
    "             verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "9b38dce832464b07afd2cca6da70287c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/83 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "backtest_en = model_en.historical_forecasts(series=series_en_transformed,\n",
    "                                            future_covariates=day_series,\n",
    "                                            num_samples=50,\n",
    "                                            start=0.7,\n",
    "                                            forecast_horizon=30,\n",
    "                                            stride=5,\n",
    "                                            retrain=False,\n",
    "                                            verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10,6))\n",
    "series_en_transformed[1000:].plot(label='actual')\n",
    "backtest_en.plot(label='backtest (H=30)', low_quantile=0.01, high_quantile=0.99)\n",
    "plt.legend();"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
